dc.creator | Martín Márquez, Victoria | es |
dc.creator | Reich, Simeon | es |
dc.creator | Sabach, Shoham | es |
dc.date.accessioned | 2016-09-07T11:53:37Z | |
dc.date.available | 2016-09-07T11:53:37Z | |
dc.date.issued | 2013-04-15 | |
dc.identifier.citation | Martín Márquez, V., Reich, S. y Sabach, S. (2013). Bregman strongly nonexpansive operators in reflexive Banach spaces. Journal of Mathematical Analysis and Applications, 400 (2), 597-614. | |
dc.identifier.issn | 0022-247X | es |
dc.identifier.uri | http://hdl.handle.net/11441/44797 | |
dc.description.abstract | We present a detailed study of right and left Bregman strongly nonexpansive operators in reflexive Banach spaces. We analyze, in particular, compositions and convex combinations of such operators, and prove the convergence of the Picard iterative method for operators of these types. Finally, we use our results to approximate common zeroes of maximal monotone mappings and solutions to convex feasibility problems. | es |
dc.description.sponsorship | Ministerio de Educación y Ciencia | es |
dc.description.sponsorship | Junta de Andalucía | es |
dc.description.sponsorship | Israel Science Foundation | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | Elsevier | es |
dc.relation.ispartof | Journal of Mathematical Analysis and Applications, 400 (2), 597-614. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Bregman distance | es |
dc.subject | Bregman strongly nonexpansive operator | es |
dc.subject | Legendre function | es |
dc.subject | Monotone mapping | es |
dc.subject | Nonexpansive operator | es |
dc.subject | Reflexive Banach space | es |
dc.subject | Resolvent | es |
dc.subject | Totally convex function | es |
dc.title | Bregman strongly nonexpansive operators in reflexive Banach spaces | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.type.version | info:eu-repo/semantics/submittedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Análisis Matemático | es |
dc.relation.projectID | MTM2009-10696-C02-01 | es |
dc.relation.projectID | FQM-127 | es |
dc.relation.projectID | 647/07 | es |
dc.relation.publisherversion | http://ac.els-cdn.com/S0022247X12009742/1-s2.0-S0022247X12009742-main.pdf?_tid=21ec3f96-74f1-11e6-9a32-00000aab0f26&acdnat=1473249148_1697875d6cd34699c04cff804841f2c9 | es |
dc.identifier.doi | 10.1016/j.jmaa.2012.11.059 | es |
dc.contributor.group | Universidad de Sevilla. FQM127: Análisis Funcional no Lineal | es |
idus.format.extent | 27 p. | es |
dc.journaltitle | Journal of Mathematical Analysis and Applications | es |
dc.publication.volumen | 400 | es |
dc.publication.issue | 2 | es |
dc.publication.initialPage | 597 | es |
dc.publication.endPage | 614 | es |
dc.identifier.idus | https://idus.us.es/xmlui/handle/11441/44797 | |